Question

If α and β are the zeroes of a polynomial such that α + β = -6

and αβ = 5, then find the polynomial.​

Answer 1

Given that,

α+β=6 And αβ=4

The quadratic polynomial whose zeroes are α,β is,

f(x)=k[x

2

−(α+β)x+αβ]

=k[x

2

−6x+4]

Where

′

k

′

is any non zero real number

Answer 2

Answer:

Let α and β are the zeroes of the given polynomial.

Putting values of α + β = 5/3 and αβ = 7/3

in equation (i) .

 So, value of α² + β² = -17/9.

Step-by-step explanation:

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